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Finding the Third Proportional to 322,760,789,120 and 706,322,635,880

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Solution

The third proportional to 322,760,789,120 and 706,322,635,880 is: 1,545,700,973,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,760,789,120 : 706,322,635,880 = 706,322,635,880 : x
  2. Step 2: Convert to fraction form
    322,760,789,120/706,322,635,880 = 706,322,635,880/x
  3. Step 3: Cross multiply
    322,760,789,120x = 706,322,635,880 × 706,322,635,880
  4. Step 4: Simplify right side
    322,760,789,120x = 498,891,665,956,471,031,463,936
  5. Step 5: Solve for x
    x = 498,891,665,956,471,031,463,936/322,760,789,120
  6. Step 6: Final answer
    x = 1,545,700,973,518.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.